BOUNDARY VALUE METHODS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

• 来源期刊: 计算数学（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 108-129
• 页数: 22页
• 语种: 英文
• DOI: 10.4208/jcm.1907-m2018-0252

摘要

This paper deals with the numerical computation and analysis for Caputo fractional differential equations(CFDEs).By combining the p-order boundary value methods(B-VMs)and the m-th Lagrange interpolation,a type of extended BVMs for the CFDEs with-y-order(0 ＜ γ ＜ 1)Caputo derivatives are derived.The local stability,unique solvability and convergence of the methods are studied.It is proved under the suitable conditions that the convergence order of the numerical solutions can arrive at min {p,m-γ+1}.In the end,by performing several numerical examples,the computational efficiency,accuracy and comparability of the methods are further illustrated.